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Finding the Fourth Proportional to 6,400, 8,832 and 3,456

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Solution

The fourth proportional to 6,400, 8,832 and 3,456 is: 4,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 8,832 = 3,456 : x
  2. Step 2: Convert to fraction form
    6,400/8,832 = 3,456/x
  3. Step 3: Cross multiply
    6,400x = 8,832 × 3,456
  4. Step 4: Simplify right side
    6,400x = 30,523,392
  5. Step 5: Solve for x
    x = 30,523,392/6,400
  6. Step 6: Final answer
    x = 4,769.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.